101120112021101 has 2 divisors, whose sum is σ = 101120112021102. Its totient is φ = 101120112021100.

The previous prime is 101120112020999. The next prime is 101120112021121. The reversal of 101120112021101 is 101120211021101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86340316218601 + 14779795802500 = 9291949^2 + 3844450^2 .

It is a cyclic number.

It is not a de Polignac number, because 101120112021101 - 2¹⁸ = 101120111758957 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101120112021121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50560056010550 + 50560056010551.

It is an arithmetic number, because the mean of its divisors is an integer number (50560056010551).

Almost surely, 2^{101120112021101} is an apocalyptic number.

It is an amenable number.

101120112021101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101120112021101 is an equidigital number, since it uses as much as digits as its factorization.

101120112021101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101120112021101 its reverse (101120211021101), we get a palindrome (202240323042202).

The spelling of 101120112021101 in words is "one hundred one trillion, one hundred twenty billion, one hundred twelve million, twenty-one thousand, one hundred one".